What is the value of \( y \) in the equation \( 5y = 20 \)?

What is the value of \( y \) in the equation \( 5y = 20 \)?

• A. 2
• B. 4
• C. 5
• D. 10

Answer: (B)

To find the value of \( y \) in the equation \( 5y = 20 \), you need to isolate \( y \). This can be done by dividing both sides of the equation by 5. Starting with the equation: \[ 5y = 20 \] Dividing both sides by 5 gives: \[ y = \frac{20}{5} \] Calculating this results in: \[ y = 4 \] Thus, the value of \( y \) is 4. This aligns with the correct answer provided. Understanding this process of isolating the variable is crucial; it's a fundamental principle in solving linear equations. Each step must maintain the balance of the equation, and dividing by a coefficient is a common method to solve for a variable.

To find the value of ( y ) in the equation ( 5y = 20 ), you need to isolate ( y ). This can be done by dividing both sides of the equation by 5.

Starting with the equation:

[

5y = 20

]

Dividing both sides by 5 gives:

[

y = \frac{20}{5}

]

Calculating this results in:

[

y = 4

]

Thus, the value of ( y ) is 4. This aligns with the correct answer provided.

Understanding this process of isolating the variable is crucial; it's a fundamental principle in solving linear equations. Each step must maintain the balance of the equation, and dividing by a coefficient is a common method to solve for a variable.